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Maths Quiz for Class 8 Area of Polygons |
In this post, we are providing 20 online maths quiz
questions for class 8 area of polygons. Online maths quiz will take around 20
minutes to complete it.
Question 1: The area of a parallelogram whose base is 8 cm and the corresponding height is 5 cm, is _____________.
A) 80 sq. cm
B) 20 sq. cm
C) 40 sq. cm
D) 10 sq. cm
Explanation: Area of a parallelogram = Base × corresponding height = 8 × 5 = 40 cm
Question 2: A plot of a land is in the form of a quadrilateral whose one of the diagonals is 480 m long. The two vertices on either side of the diagonal are 160 m and 110 m away from the diagonal. Find the area of the plot.
A) 64,800 sq. m
B) 64,000 sq. m
C) 64,400 sq. m
D) 64,600 sq. m
Explanation: Area of plot = ½ × diagonal × sum of the lengths of the perpendiculars on the diagonal from the opposite vertices. Thus, Area of plot = ½ × 480 × (160 + 110) = ½ × 480 × 270 = 240 × 270 = 64,800 sq. m
Question 3: If the lengths of the diagonals of a rhombus are 12 cm and 9 cm, then the area of the rhombus is _________.
A) 54 sq. cm
B) 108 sq. cm
C) 81 sq. cm
D) 27 sq. cm
Explanation: Area of a rhombus = ½ × product of diagonals = ½ × 12 × 9 = 54 sq. cm
Question 4: Find the area of a trapezium whose parallel sides are 36 cm and 24 cm and the distance between them is 19 cm.
A) 560 sq. cm
B) 570 sq. cm
C) 1140 sq. cm
D) 550 sq. cm
Explanation: Area of a trapezium = ½ × distance between the parallel sides × sum of the parallel sides = ½ × 19 × (36 + 24) = ½ × 19 × 60 = 570 sq. cm
Question 5: If the diagonal of a square measures 8√2 cm, then find the area of the square.
A) 32 sq. cm
B) 64 sq. cm
C) 128 sq. cm
D) 60 sq. cm
Explanation: Let each side of the square measures a cm. Then, a2 + a2 = (8√2)2 => 2a2 = 128 => a2 = 128/2 => a2 = 64 => a = 8 cm. Area of the square = 8 × 8 = 64 sq. cm
Question 6: If the length and the breadth of a rectangle are 9 cm and 7 cm, then the area of the rectangle is ___________.
A) 126 sq. cm
B) 62 sq. cm
C) 63 sq. cm
D) 31.5 sq. cm
Explanation: Area of a rectangle = Length × breadth = 9 × 7 = 63 sq. cm
Question 7: Find the area of a rhombus, the lengths of whose diagonals are 16 cm and 25 cm.
A) 100 sq. cm
B) 200 sq. cm
C) 300 sq. cm
D) 400 sq. cm
Explanation: Area of a rhombus = ½ × product of diagonals = ½ × 16 × 25 = 200 sq. cm
Question 8: Find the area of the trapezium whose parallel sides are 20 cm and 18 cm and the height of the trapezium is 15 cm.
A) 295 sq. cm
B) 275 sq. cm
C) 265 sq. cm
D) 285 sq. cm
Explanation: Area of a trapezium = ½ × height of the trapezium × sum of the parallel sides = ½ × 15 × (20 + 18) = ½ × 15 × 38 = 285 sq. cm
Question 9: Find the distance between the parallel sides of a trapezium whose parallel sides are 25 cm and 15 cm, and the area of the trapezium is 320 sq. cm.
A) 16 cm
B) 15 cm
C) 26 cm
D) 12 cm
Explanation: Area of a trapezium = ½ × distance between the parallel sides × sum of the parallel sides => 320 = ½ × h × (25 + 15) => 320 = ½ × h × 40 => 320 = h × 20 => h = 320/20 => h = 16 cm
Question 10: A diagonal of a quadrilateral is 45 cm long and the length of the perpendiculars on it from the opposite vertices is 19 cm and 21 cm. Find the area of the quadrilateral.
A) 1800 sq. cm
B) 450 sq. cm
C) 900 sq. cm
D) 800 sq. cm
Explanation: Area of quadrilateral = ½ × diagonal × sum of the lengths of the perpendiculars on the diagonal from the opposite vertices. Thus, Area of quadrilateral = ½ × 45 × (19 + 21) = ½ × 45 × 40 = 45 × 20 = 900 sq. cm
Question 11: If the side of an equilateral triangle is 8 cm, then its area is ____________.
A) 8√3 sq. cm
B) 16√3 sq. cm
C) 4√3 sq. cm
D) 32√3 sq. cm
Explanation: Area of an equilateral triangle = √3/4 × (side)2 = √3/4 × (8)2 = √3/4 × 64 = 16√3 sq. cm
Question 12: The area of a rhombus is 70 sq. m. If the length of one of its diagonals is 14 m, then the length of the other diagonal is ____________.
A) 12 cm
B) 10 cm
C) 8 cm
D) 9 cm
Explanation: Area of a rhombus = ½ × product of diagonals = ½ × 14 × d2 => 70 = ½ × 14 × d2 => 70 = 7 × d2 => d2 = 70/7 => d2 = 10 cm
Question 13: The side of a square whose area is 441 sq. cm is ___________.
A) 21 cm
B) 19 cm
C) 31 cm
D) 23 cm
Explanation: Side of square = √area = √441 = 21 cm
Question 14: Which of the following statements about the trapezium is correct?
A) Opposite sides are parallel.
B) Opposite sides are equal.
C) One pair of opposite sides is equal.
D) One pair of opposite sides is parallel.
Explanation: One pair of opposite sides of a trapezium are parallel.
Question 15: What is the area of a trapezium whose parallel sides are 9 cm and 5 cm and height is 6 cm?
A) 40 sq. cm
B) 41 sq. cm
C) 42 sq. cm
D) 52 sq. cm
Explanation: Area of a trapezium = ½ × height of the trapezium × sum of the parallel sides = ½ × 6 × (9 + 5) = ½ × 6 × 14 = 42 sq. cm
Question 16: The area of a trapezium is 375 sq. cm and the lengths of the parallel sides are 24 cm and 26 cm. The height of the trapezium is _________.
A) 14 cm
B) 15 cm
C) 16 cm
D) 17 cm
Explanation: Area of a trapezium = ½ × distance between the parallel sides × sum of the parallel sides => 375 = ½ × h × (24 + 26) => 375 = ½ × h × 50 => 375 = h × 25 => h = 375/25 => h = 15 cm
Question 17: If the base and the corresponding height of a parallelogram are 18 cm and 10 cm, then its area is ___________.
A) 180 sq. cm
B) 90 sq. cm
C) 45 sq. cm
D) 360 sq. cm
Explanation: Area of a parallelogram = Base × corresponding height = 18 × 10 = 180 sq. cm
Question 18: If the base and the area of a parallelogram are 9 cm and 72 sq. cm, respectively, then find its corresponding height.
A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
Explanation: Area of a parallelogram = Base × corresponding height => 72 = 9 × h => h = 72/9 => h = 8 cm
Question 19: The diagonals of a rhombus measure 5 cm and 6 cm. Find the area of the rhombus.
A) 12 sq. cm
B) 15 sq. cm
C) 30 sq. cm
D) 20 sq. cm
Explanation: Area of a rhombus = ½ × product of its diagonals = ½ × 5 × 6 = 15 sq. cm
Question 20: The side and its corresponding altitude of a rhombus are 10 cm and 12 cm, respectively. If it’s one of the diagonals is 16 cm long, then find the length of the other diagonal.
A) 10 cm
B) 12 cm
C) 15 cm
D) 18 cm
Explanation: Since a rhombus is a parallelogram, Area of a rhombus = base × corresponding height = 10 × 12 = 120 sq. cm. Now, Area of a rhombus = ½ × d1 × d2 => 120 = ½ × 16 × d2 => 120 = 8 × d2 => d2 = 120/8 = 15 cm
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